Publications related to Optimally Localized Wavelets and Smoothing Kernels

Optimized Steerable Wavelets for Texture Analysis of Lung Tissue In 3-D CT: Classification of Usual Interstitial Pneumonia

Michaël Unser, Adrien Raphaël Depeursinge, Pedram Pad

Our aim is to optimize wavelet-based feature extraction for differentiating between the classical versus atypical pattern of usual interstitial pneumonia (UIP) in volumetric CT. Our proposal is to act on the bandwidth of steerable wavelets while maintainin ...

IEEE2015

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Michaël Unser, Daniel Sage, Zsuzsanna Püspöki, John Paul Ward

The dyadic scaling in the discrete wavelet transform can lead to a loss of precision, in comparison to the computationally unrealistic continuous wavelet transform. To overcome this obstacle, we propose a novel method to locally scale wavelets between dyad ...

IEEE2015

Exploiting Prior Knowledge in Compressed Sensing Wireless ECG Systems

Rafael Eduardo Carrillo Rangel

Recent results in telecardiology show that compressed sensing (CS) is a promising tool to lower energy consumption in wireless body area networks for electrocardiogram (ECG) monitoring. However, the performance of current CS-based algorithms, in terms of c ...

2015

On multiscale methods in Petrov-Galerkin formulation

Patrick Henning

In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional multisca ...

Springer Heidelberg2015

Compute-and-Forward using nested linear codes for the Gaussian MAC

Michael Christoph Gastpar, Jingge Zhu

The classical modulo-lattice construction of Erez et al. has been successfully applied to several coding problems under Gaussian noise, including coding for computation over multiple-access channels (MAC). For the latter problem, an alternative constructio ...

2015

Modeling the Importance of Faces in Natural Images

Sabine Süsstrunk, Cheryl Shaulya Lau, Appu Shaji, Gökhan Yildirim, Bin Jin

In this work we study the varying importance of faces in images. Face importance is found to be affected by the size and number of faces present. We collected a dataset of 152 face images with faces in different size and number of faces. We conducted a cro ...

Spie-Int Soc Optical Engineering2015

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Michaël Unser, John Paul Ward

Motivated by the interior tomography problem, we propose a method for exact reconstruction of a region of interest of a function from its local Radon transform in any number of dimensions. Our aim is to verify the feasibility of a one-dimensional reconstru ...

Siam Publications2015

MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient

Fabio Nobile, Lorenzo Tamellini, Francesco Tesei

In this work we build on the classical adaptive sparse grid algorithm (T. Gerstner and M. Griebel, Dimension-adaptive tensor-product quadrature), obtaining an enhanced version capable of using non-nested collocation points, and supporting quadrature and in ...

MATHICSE2015

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

Explicit Recursive and Adaptive Filtering in Reproducing Kernel Hilbert Spaces

Devis Tuia

This brief presents a methodology to develop recursive filters in reproducing kernel Hilbert spaces. Unlike previous approaches that exploit the kernel trick on filtered and then mapped samples, we explicitly define the model recursivity in the Hilbert spa ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Optimally Localized Wavelets and Smoothing Kernels

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Optimized Steerable Wavelets for Texture Analysis of Lung Tissue In 3-D CT: Classification of Usual Interstitial Pneumonia

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Exploiting Prior Knowledge in Compressed Sensing Wireless ECG Systems

On multiscale methods in Petrov-Galerkin formulation

Compute-and-Forward using nested linear codes for the Gaussian MAC

Modeling the Importance of Faces in Natural Images

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Explicit Recursive and Adaptive Filtering in Reproducing Kernel Hilbert Spaces

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Optimized Steerable Wavelets for Texture Analysis of Lung Tissue In 3-D CT: Classification of Usual Interstitial Pneumonia

Exploiting Prior Knowledge in Compressed Sensing Wireless ECG Systems

MATHICSE Technical Report : An adaptive sparse grid algorithm for elliptic PDEs with lognormal diffusion coefficient

On multiscale methods in Petrov-Galerkin formulation

Compute-and-Forward using nested linear codes for the Gaussian MAC

Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

Modeling the Importance of Faces in Natural Images

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Explicit Recursive and Adaptive Filtering in Reproducing Kernel Hilbert Spaces